A boat spots a helicopter at an angle of elevation of 40 degree that is reporting a height of 900 feet above the water. How far is the horizontal distance from the boat to the helicopter?

Answers

Answer 1

Answer:

1072.58feet

Step-by-step explanation:

Given the following

Angle of elevation = 40degrees

Height of helicopter above the water = 900feet

Required

Horizontal distance H

Using the SOH CAH TOA identity

tan theta = opposite/adjacent

tan 40 = 900/H

H = 900/tan40

H = 900/0.8391

H = 1,072.58feet

Hence the horizontal distance from the boat to the helicopter is 1072.58feet


Related Questions

What is the yintercept of the line given by the equation y = 3x + 4???? !!!!

Answers

Answer:

Step-by-step explanation:

y = 3x+4

Let x = 0 to find the y intercept

y = 3*0+4

y =4

The y intercept is 4

Answer:

4

Step-by-step explanation:

Slope equation: y=mx+b

m=slope

x=rate of change

b=y-intercept

If this helps please mark as brainliest

which of the following statements is not always true?

a + (-b ) = -b + a

(a + b) + (-c) = a + [b + (-c)]

-(-a) = a

a - (-b) = (-b) -a

Answers

Step-by-step explanation:

The answer is a - (-b) = (-b) - a

for example if we take;

a = 4

b = 2

c = 2

and we replace;

4 - ( -2) = (-2) - 4

6 = -6

which is not true....

All the remaining are true....

even u can just use the values of abc and check if its true....

What is the value of B for the following triangular prism?



120 cm 2
60 cm 2
5 cm 2
2.5 cm 2

Answers

Step-by-step explanation:

[tex] \frac{1}{2} (10)(12) \\ \frac{1}{2} (120) \\ 60 {cm}^{2} [/tex]

what are the domain and range of the function represented by the set of the ordered pairs?

Answers

The answer is B because The set of all first components of the ordered pairs is called the domain of the relation and the set of all second components of the ordered pairs

Simplify the sum. State any restrictions on the variable.

Answers

Answer:

2/z

Step-by-step explanation:

Add 5 and 7

The answer will be 12

12/6z

Since both the numerator and denominator is divisible by 6 divide 6 on both the numerator and denominator

2/z

The answer is 2/z

Hope this helps!

NEED HELP PLZ!!!!!!George and John travel 392 miles in 7 hours. If they travel at the same rate, how long will it take them to travel 728 miles?

a) Find their rate: _____ mph


b) It took them ____ hours to travel 728 miles

Answers

Answer:

Step-by-step explanation:

a. Find the unit rate, or how many miles they traveled in one hour, by dividing:

[tex]\frac{392}{7}=56 mph[/tex]

b. Now that we know how fast they were going, we can use it in either a proportion or in the d = rt equation. For the proportion set up, put miles on the top and hours on the bottom and solve for the unknown:

[tex]\frac{mi.}{hr}:\frac{56}{1}=\frac{728}{x}[/tex] and cross multiply to solve for x:

56x = 728 so

13 hours.

Now use the d = rt equation:

728 = 56t so

t = 13 hours

What is the value of x in the diagram?
у
X
X-20

Answers

Answer:

y= 35⁰

x = 55⁰

Step-by-step explanation:

total angle of triangle is 180⁰

therefore we can equate:

x + (x-20) + 90 = 180

2x + 70 = 180

x = 55⁰

total of x and y is equal to 90⁰ since it is a right angle;

x + y = 90

x = 55⁰

55⁰ + y = 90

y = 35⁰

The diagram shows different forms of thermal energy transfer.
What do the flames below the pot represent?

Answers

Is there a picture of the diagram ?

What is the surface area of a cone with a 6 in. diameter and a length (slant height) of 8 in?
A. 11in^2
B. 75in^2
C. 104in^2
D. 179in^2

Answers

Answer:

The formula of a surface area of a cone:

SA=pi rl+\pi r^2SA=pirl+πr

2

r - radius

l - slant height

We have the diameter d = 6 in and a slant height l = 8 in.

d=2r\to r=6in:2=3ind=2r→r=6in:2=3in

Substitute:

SA=\pi(3)(8)+\pi(3^2)=24\pi+9\pi=\boxed{33\pi\ in^2}SA=π(3)(8)+π(3

2

)=24π+9π=

33π in

2

Answer:

Hello there,

So the answer is C,

The real result is approximately 103,53 and by rounding up the result to the nearest inch, we find C!

PLEASE MAKE SURE TO GIVE ME BRAINLIEST THX <3

An n-sided polygon has one interior angle of 90°. The other interior angles are all equal.
If the size of one of the equal angles is 150°, calculate the value of n.

Answers

n = 10

For a regular polygon:
Each exterior angle = 360 / n
Each interior angle = 180 - 360/n
So sum of interior angles = n(180 - 360/n) = 180n - 360

For your polygon the sum of the interior angles = 90 + 150(n - 1) = 90 + 150n - 150 = 150n - 60

So 180n - 360 = 150n - 60
180n - 150n = -60 + 360
30n = 300
n = 10

mr.lewis shared 3/4 of a loaf of bread equally aming her children what fraction of the whole loaf would 4 of her children recieve in total

Answers

Answer:

3/16 or in decimal 0.1875

Step-by-step explanation:

What is the surface area of the cylinder shown? Use 3.14 for pie. 4cm for the Radius, and 9cm for the height.

Answers

Answer:

326.73cm²

Step-by-step explanation:

=

2

π

r

h

2

π

r

2

=

2

π

4

9

2

π

4

2

326.72564cm²

help me plsss :( math

Answers

The two diagonal lines cross at the center point so each section of the lines are identical:

3x + 3 = 4x -4

Add 4 to both sides:

3x + 7 = 4x

Subtract 3x from both sides:

X = 7

The answer is x = 7

Answer:

x = 7

Step-by-step explanation:

KU = UM

as the center of a rectangle bisects the diagonal

3x + 3 = 4x - 4

7 = x

x = 7

Write the equation of a line that passes
through point (-5,3) and is perpendicular to
y=3/5x +2.

Answers

Answer:

[tex]y=-\frac{5}{3}x-\frac{16}{3}[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Perpendicular lines always have slopes that are negative reciprocals (ex. 2 and -1/2, 4/3 and -3/4, etc.)

1) Determine the slope (m)

[tex]y=\frac{3}{5} x +2[/tex]

From the given equation, we can see that [tex]\frac{3}{5}[/tex] is the slope of the line since it's in the place of m. Because perpendicular lines always have slopes that are negative reciprocals, the line we're currently solving for would have a slope of [tex]-\frac{5}{3}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-\frac{5}{3}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-\frac{5}{3}x+b[/tex]

Plug in the given point (-5,3)

[tex]3=-\frac{5}{3}(-5)+b\\3=\frac{25}{3}+b[/tex]

Subtract [tex]\frac{25}{3}[/tex] from both sides to isolate b

[tex]3-\frac{25}{3}=\frac{25}{3}+b-\frac{25}{3}\\-\frac{16}{3} = b[/tex]

Therefore, the y-intercept is [tex]-\frac{16}{3}[/tex]. Plug this back into [tex]y=-\frac{5}{3}x+b[/tex]

[tex]y=-\frac{5}{3}x+(-\frac{16}{3})\\y=-\frac{5}{3}x-\frac{16}{3}[/tex]

I hope this helps!

Find the area of the triangle

Answers

Answer:

Hello! answer: 84 sq mm

Step-by-step explanation:

To find triangle area we would do

base × height × 1/2 or

base × height ÷ 2 So...

14 × 12 = 168 168 ÷ 2 = 84 therefore the area is 84 sq mm HOPE THAT HELPS!

Net income was 89400; accounts receivable decreased by 24000; inventory increased by 14400; proceeds from the issuance of long-term debt were 30000

Answers

Answer:

Net cash provided by operating activities = $135,800

Step-by-step explanation:

Given:

Net income = 89400

Accounts receivable decreased = 24000

Inventory increased = 14400

Issuance of long-term debt = 30000

Missing data;

Accounts payable decreased = $8,200

Equipment purchases = 100,000

Depreciation and amortization expense = $45,000

Find:

Net cash provided by operating activities

Computation:

Particular                                                        Amount

Net Income                                                 89400

Add Amortization                                        45000

Net income before non cash expenses 134400

Add Decrease in AR                                 24000

Less Increase in inventory                     14400

Less Decrease in AP                                  8200

Net cash provided by operating activities $135,800

Find the m RP value

Answers

Answer:

arcm<RP = 136degrees

Step-by-step explanation:

From the given circle;

<Q = 1/2arc mRP

Given

<Q = 68degrees

68 = 1/2 arcM<RP

2 * 68 = arcm<RP

136 =arcm<RP

arcm<RP = 136degrees

I need help asap plz.

Answers

what’s the question

Marianna’s company received 1,240 orders for her handmade gift baskets. If her company can complete 98 orders in a day, how many days will it take to complete all of the orders?

Answers

Answer:

13 days

Step-by-step explanation:

1240 divided by 98 is 12.65... and you need to answer in whole days so its 13

23% of what number is 46?

Answers

Answer: 200

Step-by-step explanation:

first, you set up your proportion. (23% at the top right, 100 at the bottom right, 46 at the top left, and x and the bottom left.) next, you multiply x * 23% = 23x then 46*100 = 4600. 4600 divided by 23 = 200. therefore, x = 200. please let me know if you have further questions!

Good luck !

Find (-14
-14
14
7
-7

Answers

Answer:

21

Step-by-step explanation:

1/2 (n + 4) = 6 whats n?

Answers

Answer:

n=8

Step-by-step explanation:

1/2 (n + 4) = 6

n+4=12

n=8

A basketball has a diameter of 9.40in find the volume of the basketball

Answers

Answer:

Volume = 434.89

Step-by-step explanation:

Answer.

Answer:

Half of 9.4 is 4.7

4.7^3(radius cubed) = 103.823

103.823 x 3.14(pi) = 326.00422

326.00422 x 4/3 = 434.672293333 rounded = 434.67

Step-by-step explanation:

Volume Of Sphere Formula:

4/3 x pi(3.14 or 22/7 OR ANY NUMBER depending on what they tell you to use for pi) x radius(half of your diameter or given radius)^3(cubed, to the power of 3)

4/3 x pi x radius cubed

The sum of two numbers is 90. Their difference is 18. Find
the numbers.

Answers

Answer:

36 & 54

Step-by-step explanation:

By Question :-

Sum of numbers = 90 .Difference of numbers = 18 .

Let :-

First Number be x .Second number be y .

According to 1st condition :-

[tex]: \implies[/tex] x + y = 90

According to 2nd condition :-

[tex]: \implies[/tex] x - y = 18

Adding the equations :-

[tex]: \implies[/tex] 2x = 18 + 90

[tex]: \implies[/tex] 2x = 108

[tex]: \implies[/tex] x = 54

Therefore :-

[tex]: \implies[/tex] First number = 54

[tex]: \implies[/tex] Second number = 36

Answer:

6 x 15

Step-by-step explanation:

brainliest

plszpzlzlzlzlzz

For the linear function f(x) = -2x+1 , find the following
a. Slope and Y-intercept.
b. Is the function increasing, decreasing, or constant, justify your answer.
c. Graph the function, label x, and y-intercepts.

Answers

Given:

The function is:

[tex]f(x)=-2x+1[/tex]

To find:

a. Slope and Y-intercept.

b. Is the function increasing, decreasing, or constant, justify your answer.

c. Graph the function, label x, and y-intercepts.

Solution:

a. We have,

[tex]f(x)=-2x+1[/tex]                  ...(i)

The slope intercept form of a line is:

[tex]y=mx+b[/tex]                    ...(ii)

Where, m is the slope and b is the y-intercept.

On comparing (i) and (ii), we get

[tex]m=-2,b=1[/tex]

Therefore, the slope of the line is -2 and the y-intercept is 1.

b. If the slope of a linear function is negative, then the function is decreasing.

If the slope of a linear function is positive, then the function is increasing.

If the slope of a linear function is 0, then the function is constant.

The slope of the linear function is negative.

Therefore, the function is decreasing.

c. We have,

[tex]f(x)=-2x+1[/tex]

At [tex]x=0[/tex], we get

[tex]f(0)=-2(0)+1[/tex]

[tex]f(0)=1[/tex]

So, the y-intercept is at (0,1).

At [tex]f(x)=0[/tex], we get

[tex]0=-2x+1[/tex]

[tex]2x=1[/tex]

[tex]x=\dfrac{1}{2}[/tex]

[tex]x=0.5[/tex]

So, the x-intercept is at [tex]\left(0.5,0\right)[/tex].

Plot the points [tex](0,1), \left(0.5,0\right)[/tex] and connect them by a straight line as shown below:

THALES’ THEOREM: If A, B, and C are three different points on a circle with a diameter line AB, then ∠ABC is a right angle True or false

Answers

Answer:

your question is that true

Step-by-step explanation:

my answer is false

If the perimeter of a square is 28 inches and the area of the square is (x2 + 4x + 4) square inches, where x is a positive number, what is the value of x?

Answers

Answer:

If the perimeter of a square is 28 inches and the area of the square is (x2 + 4x + 4) square inches, and x is a both a real and a positive number, then the value of x must be 5.

Step-by-step explanation:

All sides of a square are equal length.

The area of a square is the side length squared.

perimeter p, side length s, area a, and variable x.

p = 28.   s = ?   a = x^2 + 4x + 4.   x = ?

p = 28

p = 4s.

28 = 4s.

7 = s.

a = s^2.

s = 7.

a = 7^2.

a = 49.

a = x^2 + 4x + 4.

a = 49.

x^2 + 4x + 4 = 49.

factor x^2 + 4x + 4.

(x+2)(x+2) = 49.

(x+2)^2 = 49.

√ ((x+2)^2) = √49.

take positive answer.

x+2 = 7

x = 5.

S = {x | x is a multiple of 4 and 9 ≤ x < 37}
Which set is equivalent to S?

A) {8, 12, 16, 20, ...}
B) {8, 12, 16, ..., 36}
C) {9, 12, 16, ..., 37}
D) {12, 16, 20, 24, ...}
E) {12, 16, 20, ..., 36}

PLEASE HELP RNNNN

Answers

Answer: the answer is either e or d but I guessed d

Step-by-step explanation:

The equivalent set to set S will be {12, 16, 20, ..., 36} thus, option (E) is correct.

What is a set?

A set is a collection of distinct values where each variable's meaning must be the same.

For instance, the set of natural numbers 1, 2, 3, 4, 5, and 6 is made up of variables that each represent a different natural number.

As per the given,

x is the multiple of 4,

4,8,12..

But is it restricted in the domain as, 9 ≤ x < 37

Thus, {12, 16, 20, ..., 36} will be correct.

Hence "The equivalent set to set S will be {12, 16, 20, ..., 36}".

To learn more about the sets,

brainly.com/question/8053622

#SPJ2

Using the figure at the left, complete the extended similarity statement:

ΔUVW ∼ Δ _______ ∼ Δ __________

Answers

Answer:

[tex]\triangle {UVW} \sim \triangle {UVA} \sim \triangle {UAW}[/tex]

Step-by-step explanation:

The triangles UVW, UVA and UAW, since all three are right angles and have the same combination of angles, meaning the existence of proportionality between corresponding lengths. That is:

[tex]UA \propto AV \propto UV[/tex], [tex]AW \propto UA \propto UW[/tex], [tex]UW \propto UV \propto WV[/tex]

Hence, the complete similarity statement is:

[tex]\triangle {UVW} \sim \triangle {UVA} \sim \triangle {UAW}[/tex]

What is the equation of direct variation given that y is 16 when x is -2
A x= -8y
B y = 8x
C y= -8x
D y= -1/8 x
/\
| It means one eighth as a fraction

Answers

Answer:

C.

explanation:

I just know.

Answer:

c

Step-by-step explanation:

y=-8x

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